Nonlinear dynamics of self-, parametric, and externally excited oscillator with time delay: van der Pol versus Rayleigh models

DOI10.1007/s11071-019-05076-5zbMath1430.70083OpenAlexW2955579104WikidataQ127585936 ScholiaQ127585936MaRDI QIDQ2296374

Jerzy Warminski

Publication date: 18 February 2020

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-019-05076-5

zbMATH Keywords

time delayfrequency lockingnonlinear vibrationsself-excited systemmultiple time scales methodquasi-periodic oscillations

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Vibrations in dynamical problems in solid mechanics (74H45) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Stability for problems in linear vibration theory (70J25) Systems with slow and fast motions for nonlinear problems in mechanics (70K70) Nonlinear modes (70K75)

Related Items (4)

Link between externally excited nonlinear system and parametrically excited Duffing oscillator via bursting oscillations and phase transitions ⋮ Complex mixed-mode vibration types triggered by the pitchfork bifurcation delay in a driven van der Pol-Duffing oscillator ⋮ Nonlinear dynamics of self and parametrically excited systems with non-ideal energy source ⋮ Nonlinear dynamics and control of galloping vibration under unsteady wind flow by high-frequency excitation

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